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Finding the Third Proportional to 47,270,024 and 102,822,216

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Solution

The third proportional to 47,270,024 and 102,822,216 is: 223,659,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270,024 : 102,822,216 = 102,822,216 : x
  2. Step 2: Convert to fraction form
    47,270,024/102,822,216 = 102,822,216/x
  3. Step 3: Cross multiply
    47,270,024x = 102,822,216 × 102,822,216
  4. Step 4: Simplify right side
    47,270,024x = 10,572,408,103,150,656
  5. Step 5: Solve for x
    x = 10,572,408,103,150,656/47,270,024
  6. Step 6: Final answer
    x = 223,659,884.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.